If you have principles, this is your litmus test. Show everyone that your principles hold even when there's a risk for you (and that risk is only perceived IMO, and not real if you have good procedures in place; and if you don't have those then you are at risk of many other problems).
Personally I don't find it that hard to have a designated "hard drive exit area" where 1-2 guys' job is basically plugging in HDDs and running `shred` on them (which overwrites them with random data in several passes) all day long.